{
  "id": "1702.04801",
  "version": "v1",
  "published": "2017-02-15T22:22:23.000Z",
  "updated": "2017-02-15T22:22:23.000Z",
  "title": "The FKMM-invariant in low dimension",
  "authors": [
    "Giuseppe De Nittis",
    "Kiyonori Gomi"
  ],
  "comment": "38 pages. Keywords: \"Quaternionic\" vector bundles, FKMM-invariant, Characteristic classes, Topological quantum systems. arXiv admin note: text overlap with arXiv:1603.09421",
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "math.AT",
    "math.MP"
  ],
  "abstract": "In this paper we investigate the problem of the cohomological classification of \"Quaternionic\" vector bundles in low-dimension ($d\\leqslant 3$). We show that there exists a characteristic classes $\\kappa$, called the FKMM-invariant, which takes value in the relative equivariant Borel cohomology and completely classifies \"Quaternionic\" vector bundles in low-dimension. The main subject of the paper concerns a discussion about the surjectivity of $\\kappa$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-15T22:22:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R22",
      "53A55",
      "55N25",
      "53C80"
    ],
    "keywords": [
      "low dimension",
      "fkmm-invariant",
      "vector bundles",
      "relative equivariant borel cohomology",
      "low-dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}